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010 a| 2011053268;

020 a| 9780521898812 (hardback);

035 a| (WaSeSS)ssj0000678523;

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100 1 a| Lemmens, Bas.?| UNAUTHORIZED;

245 10 a| Nonlinear Perron-Frobenius theoryh| [electronic resource] /c| Bas Lemmens, Roger Nussbaum.;

260 a| Cambridge ;a| New York :b| Cambridge University Press,;

300 a| xii, 323 p. :b| ill. ;c| 24 cm.;

490 0 a| Cambridge tracts in mathematics ;v| 189;

504 a| Includes bibliographical references (p. [307]-318) and index.;

505 8 a| Machine generated contents note: Preface; 1. What is nonlinear Perron-Frobenius theory?; 2. Non-expansiveness and nonlinear Perron-Frobenius theory; 3. Dynamics of non-expansive maps; 4. Sup-norm non-expansive maps; 5. Eigenvectors and eigenvalues of nonlinear cone maps; 6. Eigenvectors in the interior of the cone; 7. Applications to matrix scaling problems; 8. Dynamics of subhomogeneous maps; 9. Dynamics of integral-preserving maps; Appendix A. The Birkhoff-Hopf theorem; Appendix B. Classical Perron-Frobenius theory; References; Index.;

506 a| Available only to authorized users.;

520 a| "Sometimes in mathematics an innocent-looking observation opens up a new road to a fertile field. A nice example of such an observation is due to Garrett Birkhoff [23] and Hans Samelson [187], who remarked that one can use Hilbert's (projective) metric and the contraction mapping principle to prove some of the theorems of Perron and Frobenius concerning eigenvectors and eigenvalues of nonnegative matrices. This idea has been pivotal for the development of nonlinear Perron-Frobenius theory"--c| Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Non-negative matrices.=| ^A114559;

650 0 a| Eigenvalues.=| ^A69820;

650 0 a| Eigenvectors.=| ^A272311;

650 0 a| Algebras, Linear.=| ^A26285;

650 7 a| MATHEMATICS / Differential Equations.2| bisacsh;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Nussbaum, Roger D.,d| 1944-=| ^A108990;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=880642;

949 a| CLICK ON WEB ADDRESSw| ASISh| JOYNER188;

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999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 4983233-1001l| JNETm| JOYNERr| Ys| Yt| JNESSBKu| 12/7/2018x| EBOOKz| JERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 4983233-2001l| HSLELECm| HSLr| Ys| Yt| HEBKu| 12/7/2018x| EBOOKz| HERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 4983233-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 12/7/2018x| EBOOKz| JERESOURCE;

Nonlinear Perron-Frobenius theory / Bas Lemmens, Roger Nussbaum.

Author/creator	Lemmens, Bas
Other author	Nussbaum, Roger D., 1944-
Format	Electronic
Publication Info	Cambridge ; New York : Cambridge University Press,
Description	xii, 323 p. : ill. ; 24 cm.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Non-negative matrices. Eigenvalues. Eigenvectors. Algebras, Linear.

Series	Cambridge tracts in mathematics ; 189
Contents	Machine generated contents note: Preface; 1. What is nonlinear Perron-Frobenius theory?; 2. Non-expansiveness and nonlinear Perron-Frobenius theory; 3. Dynamics of non-expansive maps; 4. Sup-norm non-expansive maps; 5. Eigenvectors and eigenvalues of nonlinear cone maps; 6. Eigenvectors in the interior of the cone; 7. Applications to matrix scaling problems; 8. Dynamics of subhomogeneous maps; 9. Dynamics of integral-preserving maps; Appendix A. The Birkhoff-Hopf theorem; Appendix B. Classical Perron-Frobenius theory; References; Index.
Abstract	"Sometimes in mathematics an innocent-looking observation opens up a new road to a fertile field. A nice example of such an observation is due to Garrett Birkhoff [23] and Hans Samelson [187], who remarked that one can use Hilbert's (projective) metric and the contraction mapping principle to prove some of the theorems of Perron and Frobenius concerning eigenvectors and eigenvalues of nonnegative matrices. This idea has been pivotal for the development of nonlinear Perron-Frobenius theory"-- Provided by publisher.
Bibliography note	Includes bibliographical references (p. [307]-318) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2011053268
ISBN	9780521898812 (hardback)

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Nonlinear Perron-Frobenius theory / Bas Lemmens, Roger Nussbaum.

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